If Danny has an income of a hundred dollars to spend on food. (burgers=x, soup=y) the price of burgers is p1=1 per unit and the price of soup is p2=2 per unit. there is a tax on burgers changing the price of burgers to 1+t. Danny's utility function is u=x+y
a)what is Danny's ordinary demand before and after the tax (express after tax in a function of t and the total change in her demand as a function of t)
b) for any value of t, what is the expression for both the income and substitution effects (from p1=1 to p1=1+t). list the Slutsky decomposition for the total change in demand.
If Danny has an income of a hundred dollars to spend on food. (burgers=x, soup=y) the...
If Danny has an income of a hundred dollars to spend on food. (burgers=x, soup=y) the price of burgers is p1=1 per unit and the price of soup is p2=2 per unit. there is a tax on burgers changing the price of burgers to 1+t. Danny's utility function is u=x+y a)what is Danny's ordinary demand before and after the tax (express after tax in a function of t and the total change in her demand as a function of t)...
Compute the market demand function (as a function of prices and income y) corresponding to a Cobb-Douglas utility function with equal coefficients a1= 1/3 and a2=1/3. What are the demands at prices p1=p2=1 and income y=10? Suppose the price of good 1 rises to 2. Compute the price effects, substitution effects and income effects for the two goods.
2. Jane's utility function has the following form: U (1,y) = 3x2 +2.ry The prices of cand y are p, and Py respectively. Jane's income is I. (a) Find the Marshallian demands for and y and the indirect utility function. (b) Without solving the cost minimization problem, recover the Hicksian de mands for x and y and the expenditure function from the Marshallian demands and the indirect utility function. (c) Write down the Slutsky equation determining the effect of a...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units of the commodity, where How fast is the demand r changing with respect to time when the price is $6 per unit and decreasing at the rate of 25 cents per month? 1 6) The output at a certain plant is Q-0.09r20.12ry+0.04y2 units per day, where z is the number of hours of skilled labor used and y is the number of...
i need help with (b) and (c)!!! thank u!!!! Jeanette has the following utility function: U= a*In(x) + b*In(y), where a+b=1 a) For a given amount of income I, and prices Px. Py, find Jeanette's Marshallian demand functions for X and Y and her indirect utility function. (6 points) b) From now on, you can use the fact that the utility parameters are a=0.2 and b=0.8. Find the Hicksian demand functions and the corresponding expenditure function. (6 points) c) Suppose...
2) Chimichanga Fest Your utility function is given by U-X,X, where xi s your consumption of Chimichangas and x, is your consumption of all the other goods in the economy. Yes, you spend 60% of your budget on Chimichangas, which is totally reasonable after the Dumpling House tragedy. a) Solve the utility maximization problem, finding the uncompensated demand for x, & x, and the indirect utility function in terms of p,, p, and Y. b) Solve the expenditure minimization problem,...
5. Melissa’s utility function for the bundle (x,y) is U(x,y)=xy. Price of good x is p1=1, price of good 2 is p2=2 and income m=10. If the price of good 1 goes up to p1=2, but the rest remain the same. Derive: Total effect? Substitution effect? Income effect?
only question that is problem is (i) many thanks . Problem 1 [32 marks] A consumer has a demand function for good 2, X, that depends on the price of good I. P. the price of good 2. Pz, and income, m, given by xy = 2+ +2P. Initially, assume m= 40, P-1, and P = 2. Then the price of good 2 increases to P = 3. a) What is the total change in demand for good 2? [2...
Question 2 (20 points) A consumer purchases two goods x ano y. The consumer's income is 1. Hi S income is 1. His utility is given by is * and y. Px is the price of x. Py is the price of a) Calculate consumer's optim U(x,y) = xy s optimal choice of x and y under his budget.hu uncompensated demand) b) Derive the indirect utility function. c) Are these two goods normal goods? Why d) Derive the expenditure function....